Question
The coordinates of the vertices of CDE are C(1, 4), D(3, 6), and E(7, 4). If the triangle is reflected over the line y = 3, what are the coordinates of the image of D?
Answers
Steve
This one is fairly easy. The x-coordinates do not change, since we are rotating around a horizontal axis.
For the y-coordinates, just figure the distance above or below y=3, and change them to the same distance below or above.
(1,4) is 1 unit above y=3. Make it one unit below: (1,2)
similarly,
(3,6) -> (3,3-(6-3)) = (3,0)
(7,4) -> (7,3-(4-3)) = (7,2)
For the y-coordinates, just figure the distance above or below y=3, and change them to the same distance below or above.
(1,4) is 1 unit above y=3. Make it one unit below: (1,2)
similarly,
(3,6) -> (3,3-(6-3)) = (3,0)
(7,4) -> (7,3-(4-3)) = (7,2)
Brittany
(3,-6)
mathematician
It is not 3,-6 it is actually 3,0
the answers are as follows
1 -3,-1
2 3,0
3. the image and the preimage have different orientations
4. x=2
5. -5,7
hope this helps anyone :)
the answers are as follows
1 -3,-1
2 3,0
3. the image and the preimage have different orientations
4. x=2
5. -5,7
hope this helps anyone :)
November 2021
Mathematician is right!!
Hu
dave
aye shout out shadow mountain high
Rodney Copperbottom
UNIT 5 Transformations LESSON 2 Reflections (October 2022)
(Q1) in the graph below, point D is reflected across the y-axis. what are the coordinates of this image?
(Answer) (-3,-1)
(Q2)the coordinates of the vertices of △CDE are C(1,4), D(3,6), and E(7,4). if the triangle is reflected over the line y=3, what are the coordinates of the image of D?
(Answer) (3,0)
(Q3)what is true for an image and a preimage in a reflection?
(Answer) The image and the preimage have different orientation.
(Q4) In the graph below, what is the line of reflection for △XYZ and △X'Y'Z'?
(Answer) x=2
(Q5) what is the image of A(3,-1) after a reflection, first across the line y=3, and the across the line x=-1?
(Answer) (-5,7)
(Q1) in the graph below, point D is reflected across the y-axis. what are the coordinates of this image?
(Answer) (-3,-1)
(Q2)the coordinates of the vertices of △CDE are C(1,4), D(3,6), and E(7,4). if the triangle is reflected over the line y=3, what are the coordinates of the image of D?
(Answer) (3,0)
(Q3)what is true for an image and a preimage in a reflection?
(Answer) The image and the preimage have different orientation.
(Q4) In the graph below, what is the line of reflection for △XYZ and △X'Y'Z'?
(Answer) x=2
(Q5) what is the image of A(3,-1) after a reflection, first across the line y=3, and the across the line x=-1?
(Answer) (-5,7)
Satanic Dude
Rodney Copperbottom is correct
Atheist Chad
Can confirm! Rodney's right.